| 具有遍历的概率测度的Markov算子 |
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| 引用本文： | 郭新伟.具有遍历的概率测度的Markov算子[J].山东大学学报(理学版),2010,45(2):79-83. |
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| 作者姓名： | 郭新伟 |
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| 作者单位： | 山东大学威海分校数学和统计学院,山东,威海,264209 |
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| 摘 要： | 研究了可分度量空间上的Markov算子的遍历性质,利用平移算子的遍历理论证明了非扩张的具有遍历测度的Markov算子具有几乎稠密的轨道。
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| 关 键 词： | Markov算子 Markov链 遍历测度 平移算子 轨道 |
| 收稿时间： | 2009-03-30 |
Markov operators with an ergodic probability measure |
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| GUO Xin-wei.Markov operators with an ergodic probability measure[J].Journal of Shandong University,2010,45(2):79-83. |
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| Authors: | GUO Xin-wei |
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| Institution: | School of Mathematics and Statistics, Shandong University at Weihai, Weihai 264209, Shandong, China |
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| Abstract: | The ergodicity of Markov operators on separable metric space is discussed.It is proved that non-expansive Markov operators with ergodic measures have almost dense trajectories using ergodic theory for shift operators. |
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| Keywords: | Markov operators Markov chains ergodic measures shift operators trajectories |
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